Minimum polynomials of semisimple elements of prime power order p a of finite classical groups in (nontrivial) irreducible cross-characteristic representations are studied. In particular, an analogue of the Hall-Higman theorem is established, which shows that the degree of such a polynomial is at least pa-1(p-1), with a few explicit exceptions.
|Original language||English (US)|
|Number of pages||46|
|Journal||Proceedings of the London Mathematical Society|
|State||Published - Nov 2008|
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